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kupik [55]
2 years ago
10

after flying at an altitude of 50 meters, a helicopter starts to descend when its ground distance from the landing pad is 11 kil

ometer . what is the angle of depression for this part of the flight
Mathematics
1 answer:
yarga [219]2 years ago
8 0

Answer:

The angle of depression for the flight part is approximately 0.2604 degrees

Step-by-step explanation:

The given altitude at which the helicopter is flying = 50 meters

The horizontal distance of the helicopter from the helipad = 11 kilometers = 11,000 meters

The angle of depression = The angle of elevation = Arctan(Altitude/(Horizontal distance)

Therefore;

The angle of depression for the flight part = Arctan(50/(11,000)) ≈ 0.2604 degrees

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Answer:

the probability is 1/80

Step-by-step explanation:

Readmore at : brainly.com/question/3325543

7 0
3 years ago
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Mrs Alivia’s bathroom is in the shape of a rectangle with a width of 6 feet. Her kitchen is in the shape of a rectangle with a w
Vedmedyk [2.9K]

Answer:

1. The length of the bathroom is equal to its width.  FALSE

2. Equation 2(x+6)=29 can be used to find the length of the bathroom, x.

TRUE

3. The legend of the bathroom is 11.5 feet.  FALSE

4. The equation 2 x+6=29 can be used to find the length of bathroom, x.

FALSE

5. The length of the bathroom is 8.5 feet. TRUE

Step-by-step explanation:

Here, given:

The width of the bathroom = 6 feet

The width of the kitchen = 10.75 ft

The perimeter of the bathroom = 29 feet

Let us assume the length of the bathroom =  k units

PERIMETER OF A RECTANGLE = 2 ( LENGTH + WIDTH)

Now, for the Mrs Avila's bathroom

29 feet  = 2 (k + 6)

⇒ 29  = 2k + 12

or, 2 k =  29 - 12 = 17

⇒ k = 17/2  = 8.5 feet

So, the length of the bathroom = 8.5 units

Now, let us consider the given statements:

1. The length of the bathroom is equal to its width.  FALSE

As here, Length= 8.5 units and width =   6 units

2. Equation 2(x+6)=29 can be used to find the length of the bathroom, x.

TRUE

3. The legend of the bathroom is 11.5 feet.

FALSE, the length of the bathroom is 8.5 units.

4. The equation 2 x+6=29 can be used to find the length of bathroom, x.

FALSE, the correct equation that can be used is  2x + 12  = 29

5. The length of the bathroom is 8.5 feet.

TRUE

5 0
3 years ago
What is the unit rate?? Seven notebooks at the school supply store cost $4.76.
Katena32 [7]
You divide 1 by 4.76 and you get 0.21 as your main answer
6 0
3 years ago
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At Billy's school, 80 students come to school by bicycle or by car. Together, the vehicles they arrive to school in have 270 whe
Anna35 [415]

Answer:

x = number of bicycles = 35

y = number of cars = 55

Step-by-step explanation:

Let

x = number of bicycles

y = number of cars

x + y = 80 (1)

2x + 4y = 270 (2)

From (1)

x = 80 - y

Substitute x = 80 - y into (2)

2x + 4y = 270 (2)

2(80 - y) + 4y = 270

160 - 2y + 4y = 270

- 2y + 4y = 270 - 160

2y = 110

y = 110/2

y = 55

Substitute y = 55 into (1)

x + y = 80 (1)

x + 55 = 80

x = 80 - 55

x = 35

x = number of bicycles = 35

y = number of cars = 55

6 0
3 years ago
Serena has $130 in her bank account . Her account is compounded quarterly for 2 years at a 9.4% interest rate . What is her tota
____ [38]
\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$130\\
r=rate\to 9.4\%\to \frac{9.4}{100}\to &0.094\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4\\
t=years\to &2
\end{cases}
\\\\\\
A=130\left(1+\frac{0.094}{4}\right)^{4\cdot 2}\implies A=130(1.0235)^8
7 0
3 years ago
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